78478632960 has 768 divisors, whose sum is σ = 314370201600. Its totient is φ = 16272064512.

The previous prime is 78478632949. The next prime is 78478632961. The reversal of 78478632960 is 6923687487.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 78478632894 and 78478632903.

It is not an unprimeable number, because it can be changed into a prime (78478632961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187299631 + ... + 187300049.

It is an arithmetic number, because the mean of its divisors is an integer number (409336200).

Almost surely, 2^78478632960 is an apocalyptic number.

78478632960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78478632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157185100800).

78478632960 is an abundant number, since it is smaller than the sum of its proper divisors (235891568640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78478632960 is a wasteful number, since it uses less digits than its factorization.

78478632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 78478632960 in words is "seventy-eight billion, four hundred seventy-eight million, six hundred thirty-two thousand, nine hundred sixty".